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Finding the Fourth Proportional to 208.75, 311.73 and 185.67

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Solution

The fourth proportional to 208.75, 311.73 and 185.67 is: 277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.75 : 311.73 = 185.67 : x
  2. Step 2: Convert to fraction form
    208.75/311.73 = 185.67/x
  3. Step 3: Cross multiply
    208.75x = 311.73 × 185.67
  4. Step 4: Simplify right side
    208.75x = 57,878.91
  5. Step 5: Solve for x
    x = 57,878.91/208.75
  6. Step 6: Final answer
    x = 277.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.